An asymptotic analysis of the quantum liouville equation

Christian Ringhofer

Research output: Chapter in Book/Report/Conference proceedingChapter


We present an asymptotic analysis for the quantum Liouville equation in the classical limit for discontinuous potentials. Such discontinuities arise when the quantum Liouville equation is used to model transport phenomena in novel semiconductor devices, as a result of the presence of heterojunctions. The structure of the solutions close to the junctions is examined, and equations for the outer and inner solutions are given.

Original languageEnglish (US)
Title of host publicationAsymptotic Analysis and the Numerical Solution of Partial Differential Equations
PublisherCRC Press
Number of pages12
ISBN (Electronic)9781482277067
ISBN (Print)9780824785383
StatePublished - Jan 1 1991

ASJC Scopus subject areas

  • General Mathematics


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